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Finding the Fourth Proportional to 405,314.46, 559,043.82 and 284,482.74

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Solution

The fourth proportional to 405,314.46, 559,043.82 and 284,482.74 is: 392,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,314.46 : 559,043.82 = 284,482.74 : x
  2. Step 2: Convert to fraction form
    405,314.46/559,043.82 = 284,482.74/x
  3. Step 3: Cross multiply
    405,314.46x = 559,043.82 × 284,482.74
  4. Step 4: Simplify right side
    405,314.46x = 159,038,317,693.67
  5. Step 5: Solve for x
    x = 159,038,317,693.67/405,314.46
  6. Step 6: Final answer
    x = 392,382.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.